Question

The manager of Lawn and Garden Services would like to estimate the proportion of her employees' time spent performing various gardening and lawn care activities. She has made 400 random observations of a typical worker, with the following results:
Activity Time Observed
Mowing 200
Trimming 80
Raking 40
Miscellaneous 80
What is the probability that the true proportion of time spent mowing is exactly equal to the sample proportion?
a) 1
b) 0
c) .5
d) .2
e) 1

Answer 1

Answer:

b) 0

Explanation:

In this case, the manager observed that a worker spent 50% of his/her time mowing the garden, but in case this is correct, it would only apply to this worker. She would need to collect data and analyze it from a much larger sample which includes other workers in order to determine if this proportion applies to whole group. You cannot infer a conclusion based on a limited amount of data collected from just one subject. The methodology is incorrect.